A244334 Decimal expansion of 64/169, the upper bound (as given by S. Finch) of the 2-dimensional simultaneous Diophantine approximation constant.

3, 7, 8, 6, 9, 8, 2, 2, 4, 8, 5, 2, 0, 7, 1, 0, 0, 5, 9, 1, 7, 1, 5, 9, 7, 6, 3, 3, 1, 3, 6, 0, 9, 4, 6, 7, 4, 5, 5, 6, 2, 1, 3, 0, 1, 7, 7, 5, 1, 4, 7, 9, 2, 8, 9, 9, 4, 0, 8, 2, 8, 4, 0, 2, 3, 6, 6, 8, 6, 3, 9, 0, 5, 3, 2, 5, 4, 4, 3, 7, 8, 6, 9, 8, 2, 2, 4, 8, 5, 2, 0, 7, 1, 0, 0, 5, 9, 1, 7

Offset

0,1

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.23 Diophantine Approximation Constants, p. 174.

Links

Table of n, a(n) for n=0..98.

W. G. Spohn, Blichfeldt's Theorem and Simultaneous Diophantine Approximation

Eric Weisstein's MathWorld, Blichfeldt's Theorem

Example

0.3786982248520710059171597633136... (periodic part length is 78).

Mathematica

N[64/169, 99] // RealDigits // First

Crossrefs

Cf. A244335, A244336, A244337, A244338.

Sequence in context: A103560 A198562 A372863 * A011398 A317850 A181828

Adjacent sequences: A244331 A244332 A244333 * A244335 A244336 A244337

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jun 26 2014

Status

approved